Multi-Objective Non-Simultaneous Location-Allocation Development Model in Service Delivery Networks

In today's world, due to the complexities involved in decision-making and in order to make more comprehensive decisions, it is necessary to consider multiple criteria for decision-making. Examining and improving the performance of service delivery networks is an important issue that aligns different goals with reality. The main objective of the current research is to investigate and enhance the firefighting service allocation network. In this regard, the structure of how data location and time are selected, as well as the method of collecting specific temporal data, are first determined. Subsequently, a new two-objective model is developed with the goal of minimizing response time and uncovered damage, while considering the constraint of maximum coverage time according to standards and network balance based on call rates. Furthermore, in order to address the issue of uncovered areas by some nodes, another variable called "auxiliary stations" is added to the mathematical model, and a new model called "multi-objective non-simultaneous assignment-location model" is developed considering the stationary locations of current service providers and avoiding additional costs. In order to evaluate the performance and validate the developed mathematical model, a case study was conducted in Tehran, and after collecting the data, the mathematical model was solved using GAMS software and lexicographic method. The results of the model solution indicate that the total time allocation has significantly decreased in the fire department network, leading to the improvement of service delivery network without changing the current service locations.